Answer:
9.92 cm
Explanation:
Given: ∆ABC,
CD ⊥ AB,
AC = BC,
Area of ABC = 32 cm2,
m∠A = 72°
Find: CD
Solution:
Triangle ABC is isosceles triangle with base AB, because AC = BC. In isosceles triangle angles adjacent to the base are congruent. So,

The sum of the measures of all interior angles is 180°, thus

The area of the triangle ABC is

Consider right triangle ACD. In this triangle,
